Pith Number

pith:M3XABILB

pith:2018:M3XABILBWK4XPD6YX7PXFI4T5G

not attested not anchored not stored refs pending

Global Stability of Boltzmann Equation with Large External Potential for a Class of Large Oscillation Data

Guanfa Wang, Yong Wang

arxiv:1811.06153 v1 · 2018-11-15 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3XABILBWK4XPD6YX7PXFI4T5G}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:00:38.505978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66ee00a161b2b9778fd8bfdf72a393e9bab704b84af7bf5b464d8f1b6f7b1bbe

Aliases

arxiv: 1811.06153 · arxiv_version: 1811.06153v1 · doi: 10.48550/arxiv.1811.06153 · pith_short_12: M3XABILBWK4X · pith_short_16: M3XABILBWK4XPD6Y · pith_short_8: M3XABILB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/M3XABILBWK4XPD6YX7PXFI4T5G \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 66ee00a161b2b9778fd8bfdf72a393e9bab704b84af7bf5b464d8f1b6f7b1bbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2f0afaab8fe723746588826a336cbdaf1503efa41514d92debec7e891b776b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-15T03:04:37Z",
    "title_canon_sha256": "8ce5af1e50dbf9ade99dc0cd1d95cdff1698836e9cfef9a5c42434e105a1abd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06153",
    "kind": "arxiv",
    "version": 1
  }
}